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Finding the Third Proportional to 79,470 and 111,384

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Solution

The third proportional to 79,470 and 111,384 is: 156,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,470 : 111,384 = 111,384 : x
  2. Step 2: Convert to fraction form
    79,470/111,384 = 111,384/x
  3. Step 3: Cross multiply
    79,470x = 111,384 × 111,384
  4. Step 4: Simplify right side
    79,470x = 12,406,395,456
  5. Step 5: Solve for x
    x = 12,406,395,456/79,470
  6. Step 6: Final answer
    x = 156,114.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.